Find a,b,c if `[[1,3/5,a],[b,-5,-7],[-4,c,0]]` is a symmetric matrix.

Find a,b,c if the matrix A=[[4,3,-5],[a,0,b],[c,7,5]] is a symmetric matrix.

Show that the matrix: [[a,1,b+c],[b,1,c+a],[c,1,a+b]] , is a singular matrix.

If A = [[1,0,1],[0,2,3],[1,2,1]] and B = [[1,2,3],[1,1,5],[2,4,7]] , then find a matrix X such that XA = B .

Find the inverse of A=[[1,3,3],[1,4,3],[1,3,4]] and B = [[1,2,3],[1,1,5],[2,4,7]] then, find a matrix X such that XA = B .

If A=[[1,2,-3],[-3,7,-8],[0,-6,1]],B=[[9,-1,2],[-4,2,5],[4,0,-3] ,then find the matrix C such that A+B+C is a zero matrix

A=[[2,3,-1],[4,7,5]],B=[[2,3,-1],[4,7,5]] and C=[[1,3,2],[4,6,-1]] Find the matrix X such that 2A-2B+4X=5C

If A=[[1,-2],[3,-5][-6,0]],B=[-1,-2],[4,2],[1,5]] and C=[[2,4],[-1,-4],[-3,6]] ,then find the matrix X such that 3A-4B+5X=C